The generator matrix 1 0 1 1 1 1 1 X+6 1 1 1 2X 1 1 X+6 1 1 0 1 1 1 1 1 2X 1 1 2X+3 1 1 1 X+3 1 1 1 1 0 1 1 3 1 1 1 0 1 3 1 1 1 1 1 1 1 1 1 2X X+6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 X+3 1 2X+3 1 1 1 3 2X X+6 1 1 0 1 2X+7 8 X+6 X+1 X+5 1 2X 7 2X+8 1 2X+7 X+6 1 8 0 1 2X X+1 X+5 7 2X+8 1 3 2X+4 1 2 X+4 X+3 1 X+5 2X+2 2X 7 1 2X+3 4 1 X+2 2X 7 1 X+5 1 2X+3 4 X+2 0 X+6 2X+7 X+1 8 2X+8 1 1 X+1 2X+7 0 X+6 3 X+3 3 2X+4 2X+4 X+4 X+3 X+4 6 2X+1 2X+6 4 X+8 5 1 X+4 1 X+3 1 2X+5 1 2X+3 1 1 1 X+2 0 0 0 6 0 6 3 3 0 0 3 6 6 0 3 6 6 3 3 6 0 3 6 0 3 6 3 0 3 6 0 3 0 3 0 0 3 3 3 6 0 6 6 0 6 6 3 0 6 0 6 6 3 0 0 0 6 6 0 3 3 6 0 0 3 6 0 3 0 6 3 3 0 3 0 6 6 0 6 0 3 6 0 3 6 0 6 3 0 0 0 3 3 6 3 3 3 0 6 0 0 3 3 3 0 3 0 6 6 6 6 0 0 0 0 3 6 3 3 6 6 0 6 0 0 6 3 3 3 0 3 3 0 3 0 6 3 0 6 0 6 3 3 0 0 6 3 0 3 0 6 6 3 0 6 3 6 3 6 3 0 0 6 3 6 6 6 0 3 6 6 3 0 0 6 generates a code of length 87 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+192x^168+1596x^170+522x^171+72x^172+1260x^173+498x^174+72x^175+378x^176+416x^177+18x^178+1176x^179+200x^180+126x^182+22x^183+4x^186+2x^189+2x^198+2x^201+2x^207 The gray image is a code over GF(3) with n=783, k=8 and d=504. This code was found by Heurico 1.16 in 0.44 seconds.